4 papers
Guiding center quantization of a quantum Hall analog of Hawking radiation
Rodrigo Andrade e Silva, Ted Jacobson
We revisit the quantum Hall analog of Hawking radiation in which a Fermi sea of electrons occupying half of a plane, subjected to a quadrupolar electric potential, gives rise to an…
Quantizing the guiding center: do quantization and coarse graining commute?
Rodrigo Andrade e Silva, Ted Jacobson
We develop a nonperturbative, group-theoretic quantization of the effective guiding center theory of a charged particle drifting in a magnetic field in two spatial dimensions, and…
Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole
Rodrigo Andrade e Silva, Ted Jacobson
The problem of quantizing a particle on a 2-sphere has been treated by numerous approaches, including Isham's global method based on unitary representations of a symplectic symmetr…
Relativistic spring-mass system
Rodrigo Andrade e Silva, Andre G. S. Landulfo, George E. A. Matsas +1
The harmonic oscillator plays a central role in physics describing the dynamics of a wide range of systems close to stable equilibrium points. The nonrelativistic one-dimensional s…